Need asap will give brainliest

use the linear combination method to solve the system of equations. explain each step of your solution.

2x+y=-6

-8x+2y=12

x=-2 and y=-2

Step-by-step-explaination:

To solve the system of equations you have to cancel out a variable. I chose to cancel out Y. First, the coefficients of y need to be the same in both equations. To do this multiply to the top equation by 2 so you get

2(2x) +2(y) = 2(-6)

4x + 2y = -12

Next, subtract the second equation from the first to cancel out the y’s

4x + 2y =-12

-(-8x + 2y = -12)

————————

12x = -24

Solve

X = -24/12

X=-2

Plug x into the original equation to find y

2(-2) + y = -6

-4 + y = -6

Y = -6 +4

Y=-2

You can substitute x and y into the original equations to double check

36

step-by-step explanation:

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)